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Finding the Fourth Proportional to 483.29, 723.71 and 457.77

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Solution

The fourth proportional to 483.29, 723.71 and 457.77 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.29 : 723.71 = 457.77 : x
  2. Step 2: Convert to fraction form
    483.29/723.71 = 457.77/x
  3. Step 3: Cross multiply
    483.29x = 723.71 × 457.77
  4. Step 4: Simplify right side
    483.29x = 331,292.73
  5. Step 5: Solve for x
    x = 331,292.73/483.29
  6. Step 6: Final answer
    x = 685.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.